Variational Methods for Eigenvalue Problems : : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / / S. H. Gould.
The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. From the reviews of this edition and from subsequent shorter expositions it has become clear that the method is of considerable interest t...
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Place / Publishing House: | Toronto : : University of Toronto Press, , [2019] ©1966 |
Year of Publication: | 2019 |
Edition: | 2nd Edition |
Language: | English |
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Physical Description: | 1 online resource (292 p.) |
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Gould, S. H., author. aut http://id.loc.gov/vocabulary/relators/aut Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / S. H. Gould. 2nd Edition Toronto : University of Toronto Press, [2019] ©1966 1 online resource (292 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Heritage Frontmatter -- PREFACE TO THE SECOND EDITION -- FROM THE PREFACE TO THE FIRST EDITION -- CONTENTS -- INTRODUCTION -- I. SYSTEMS VIBRATING WITH A FINITE NUMBER OF DEGREES OF FREEDOM -- II. VARIATIONAL PRINCIPLES FOR FINITE-DIMENSIONAL SYSTEMS -- III. THE WEINSTEIN CRITERION FOR COMPLETE RAISING OF EIGENVALUES -- IV. VIBRATION OF SYSTEMS WITH INFINITELY MANY DEGREES OF FREEDOM -- V. REPRODUCING KERNELS AND FUNCTIONAL COMPLETION -- VI. VIBRATING RODS, MEMBRANES, AND PLATES -- VII. THE WEINSTEIN METHOD IN ITS ORIGINAL FORM -- VIII. LINEAR OPERATORS IN HILBERT SPACE -- IX. THE METHOD AS DEVELOPED BY WEINSTEIN AND ARONSZAJN FOR LINEAR OPERATORS IN HILBERT SPACE -- X. APPLICATION OF THE METHOD IN HILBERT SPACE TO THE DIFFERENTIAL PROBLEM OF THE VIBRATING PLATE -- XI. APPLICATION OF THE APPROXIMATIVE METHODS TO GENERAL DIFFERENTIAL PROBLEMS -- XII. INTERMEDIATE PROBLEMS OF THE SECOND TYPE. THE BAZLEY SPECIAL CHOICE -- XIII. TRUNCATION AND OTHER METHODS -- XIV. PROBLEMS OF THE FIRST TYPE WITH A SIDE CONDITION -- XV. UNIFIED TREATMENT OF INTERMEDIATE PROBLEMS -- BIBLIOGRAPHY -- INDEX restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. From the reviews of this edition and from subsequent shorter expositions it has become clear that the method is of considerable interest to the mathematical world; this interest has increased greatly in recent years by the success of some mathematicians in simplifying and extending the numerical applications, particularly in quantum mechanics. Until now new developments have been available only in articles scattered throughout the literature: this second edition presents them systematically in the framework of the material contained in the first edition, which is retained in somewhat modified form. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) EDUCATION / Higher. bisacsh Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 9783110490947 https://doi.org/10.3138/9781487596002 https://www.degruyter.com/isbn/9781487596002 Cover https://www.degruyter.com/cover/covers/9781487596002.jpg |
language |
English |
format |
eBook |
author |
Gould, S. H., Gould, S. H., |
spellingShingle |
Gould, S. H., Gould, S. H., Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / Heritage Frontmatter -- PREFACE TO THE SECOND EDITION -- FROM THE PREFACE TO THE FIRST EDITION -- CONTENTS -- INTRODUCTION -- I. SYSTEMS VIBRATING WITH A FINITE NUMBER OF DEGREES OF FREEDOM -- II. VARIATIONAL PRINCIPLES FOR FINITE-DIMENSIONAL SYSTEMS -- III. THE WEINSTEIN CRITERION FOR COMPLETE RAISING OF EIGENVALUES -- IV. VIBRATION OF SYSTEMS WITH INFINITELY MANY DEGREES OF FREEDOM -- V. REPRODUCING KERNELS AND FUNCTIONAL COMPLETION -- VI. VIBRATING RODS, MEMBRANES, AND PLATES -- VII. THE WEINSTEIN METHOD IN ITS ORIGINAL FORM -- VIII. LINEAR OPERATORS IN HILBERT SPACE -- IX. THE METHOD AS DEVELOPED BY WEINSTEIN AND ARONSZAJN FOR LINEAR OPERATORS IN HILBERT SPACE -- X. APPLICATION OF THE METHOD IN HILBERT SPACE TO THE DIFFERENTIAL PROBLEM OF THE VIBRATING PLATE -- XI. APPLICATION OF THE APPROXIMATIVE METHODS TO GENERAL DIFFERENTIAL PROBLEMS -- XII. INTERMEDIATE PROBLEMS OF THE SECOND TYPE. THE BAZLEY SPECIAL CHOICE -- XIII. TRUNCATION AND OTHER METHODS -- XIV. PROBLEMS OF THE FIRST TYPE WITH A SIDE CONDITION -- XV. UNIFIED TREATMENT OF INTERMEDIATE PROBLEMS -- BIBLIOGRAPHY -- INDEX |
author_facet |
Gould, S. H., Gould, S. H., |
author_variant |
s h g sh shg s h g sh shg |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Gould, S. H., |
title |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / |
title_sub |
An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / |
title_full |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / S. H. Gould. |
title_fullStr |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / S. H. Gould. |
title_full_unstemmed |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / S. H. Gould. |
title_auth |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / |
title_alt |
Frontmatter -- PREFACE TO THE SECOND EDITION -- FROM THE PREFACE TO THE FIRST EDITION -- CONTENTS -- INTRODUCTION -- I. SYSTEMS VIBRATING WITH A FINITE NUMBER OF DEGREES OF FREEDOM -- II. VARIATIONAL PRINCIPLES FOR FINITE-DIMENSIONAL SYSTEMS -- III. THE WEINSTEIN CRITERION FOR COMPLETE RAISING OF EIGENVALUES -- IV. VIBRATION OF SYSTEMS WITH INFINITELY MANY DEGREES OF FREEDOM -- V. REPRODUCING KERNELS AND FUNCTIONAL COMPLETION -- VI. VIBRATING RODS, MEMBRANES, AND PLATES -- VII. THE WEINSTEIN METHOD IN ITS ORIGINAL FORM -- VIII. LINEAR OPERATORS IN HILBERT SPACE -- IX. THE METHOD AS DEVELOPED BY WEINSTEIN AND ARONSZAJN FOR LINEAR OPERATORS IN HILBERT SPACE -- X. APPLICATION OF THE METHOD IN HILBERT SPACE TO THE DIFFERENTIAL PROBLEM OF THE VIBRATING PLATE -- XI. APPLICATION OF THE APPROXIMATIVE METHODS TO GENERAL DIFFERENTIAL PROBLEMS -- XII. INTERMEDIATE PROBLEMS OF THE SECOND TYPE. THE BAZLEY SPECIAL CHOICE -- XIII. TRUNCATION AND OTHER METHODS -- XIV. PROBLEMS OF THE FIRST TYPE WITH A SIDE CONDITION -- XV. UNIFIED TREATMENT OF INTERMEDIATE PROBLEMS -- BIBLIOGRAPHY -- INDEX |
title_new |
Variational Methods for Eigenvalue Problems : |
title_sort |
variational methods for eigenvalue problems : an introduction to the weinstein method of intermediate problems (second edition) / |
series |
Heritage |
series2 |
Heritage |
publisher |
University of Toronto Press, |
publishDate |
2019 |
physical |
1 online resource (292 p.) |
edition |
2nd Edition |
contents |
Frontmatter -- PREFACE TO THE SECOND EDITION -- FROM THE PREFACE TO THE FIRST EDITION -- CONTENTS -- INTRODUCTION -- I. SYSTEMS VIBRATING WITH A FINITE NUMBER OF DEGREES OF FREEDOM -- II. VARIATIONAL PRINCIPLES FOR FINITE-DIMENSIONAL SYSTEMS -- III. THE WEINSTEIN CRITERION FOR COMPLETE RAISING OF EIGENVALUES -- IV. VIBRATION OF SYSTEMS WITH INFINITELY MANY DEGREES OF FREEDOM -- V. REPRODUCING KERNELS AND FUNCTIONAL COMPLETION -- VI. VIBRATING RODS, MEMBRANES, AND PLATES -- VII. THE WEINSTEIN METHOD IN ITS ORIGINAL FORM -- VIII. LINEAR OPERATORS IN HILBERT SPACE -- IX. THE METHOD AS DEVELOPED BY WEINSTEIN AND ARONSZAJN FOR LINEAR OPERATORS IN HILBERT SPACE -- X. APPLICATION OF THE METHOD IN HILBERT SPACE TO THE DIFFERENTIAL PROBLEM OF THE VIBRATING PLATE -- XI. APPLICATION OF THE APPROXIMATIVE METHODS TO GENERAL DIFFERENTIAL PROBLEMS -- XII. INTERMEDIATE PROBLEMS OF THE SECOND TYPE. THE BAZLEY SPECIAL CHOICE -- XIII. TRUNCATION AND OTHER METHODS -- XIV. PROBLEMS OF THE FIRST TYPE WITH A SIDE CONDITION -- XV. UNIFIED TREATMENT OF INTERMEDIATE PROBLEMS -- BIBLIOGRAPHY -- INDEX |
isbn |
9781487596002 9783110490947 |
url |
https://doi.org/10.3138/9781487596002 https://www.degruyter.com/isbn/9781487596002 https://www.degruyter.com/cover/covers/9781487596002.jpg |
illustrated |
Not Illustrated |
doi_str_mv |
10.3138/9781487596002 |
oclc_num |
1091698134 |
work_keys_str_mv |
AT gouldsh variationalmethodsforeigenvalueproblemsanintroductiontotheweinsteinmethodofintermediateproblemssecondedition |
status_str |
n |
ids_txt_mv |
(DE-B1597)513741 (OCoLC)1091698134 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
is_hierarchy_title |
Variational Methods for Eigenvalue Problems : An Introduction to the Weinstein Method of Intermediate Problems (Second Edition) / |
container_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
_version_ |
1770177059633496064 |
fullrecord |
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